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5158785053214 = 23313296117232411
BaseRepresentation
bin100101100010001111110…
…0011001111001000011110
3200021011201121012120202000
41023010133203033020132
51134010142433200324
614545525123143130
71041465334305342
oct113043743171036
920234647176660
105158785053214
111709912745171
126b3982814aa6
132b5618705360
1413b987b99622
158e2d26be9c9
hex4b11f8cf21e

5158785053214 has 256 divisors, whose sum is σ = 12993818342400. Its totient is φ = 1505959257600.

The previous prime is 5158785053197. The next prime is 5158785053231. The reversal of 5158785053214 is 4123505878515.

5158785053214 is a `hidden beast` number, since 5 + 1 + 58 + 7 + 8 + 50 + 532 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5158785053197) and next prime (5158785053231).

It is a super-2 number, since 2×51587850532142 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2139685669 + ... + 2139688079.

It is an arithmetic number, because the mean of its divisors is an integer number (50757102900).

Almost surely, 25158785053214 is an apocalyptic number.

5158785053214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5158785053214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6496909171200).

5158785053214 is an abundant number, since it is smaller than the sum of its proper divisors (7835033289186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5158785053214 is a wasteful number, since it uses less digits than its factorization.

5158785053214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4248 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 5158785053214 in words is "five trillion, one hundred fifty-eight billion, seven hundred eighty-five million, fifty-three thousand, two hundred fourteen".